(a+b/a^3 – a^2 b+a b^2 – b^2) : (a^2-ab-2b^2/a^4-b^4)

1 bình luận về “(a+b/a^3 – a^2 b+a b^2 – b^2) : (a^2-ab-2b^2/a^4-b^4)”

1. (a + b)/(a^3 – a^2 b + ab^2 – b^3) : (a^2 – ab – 2b^2)/(a^4 – b^4)

   = (a + b)/(a^3 – b^3 – a^2 b + ab^2) : (a^2 – 2ab + ab – 2b^2)/((a^2 – b^2)(a^2 + b^2))

   = (a + b)/((a – b)(a^2 + ab + b^2) – ab(a – b)) : ((a – 2b)(a + b))/((a + b)(a – b)(a^2 + b^2)

   = (a + b)/((a – b)(a^2 + b^2)) : (a – 2b)/((a – b)(a^2 + b^2))

   = (a + b)/((a – b)(a^2 + b^2)) . ((a – b)(a^2 + b^2))/(a – 2b)

   = (a + b)/(a – 2b).

    

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